8145555600000 has 1536 divisors, whose sum is σ = 33671869862400. Its totient is φ = 1698693120000.

The previous prime is 8145555599977. The next prime is 8145555600037. The reversal of 8145555600000 is 65555418.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10592399616 + ... + 10592400384.

It is an arithmetic number, because the mean of its divisors is an integer number (21921790275).

Almost surely, 2^{8145555600000} is an apocalyptic number.

8145555600000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8145555600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835934931200).

8145555600000 is an abundant number, since it is smaller than the sum of its proper divisors (25526314262400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8145555600000 is an equidigital number, since it uses as much as digits as its factorization.

8145555600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 8145555600000 in words is "eight trillion, one hundred forty-five billion, five hundred fifty-five million, six hundred thousand".